Vorticity
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nan 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 9 9 9 10 10 10 11 11 11 12 13 13 13 14 14 13 13 12 11 9 8 6 4 3 2 -0 -2 -3 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 12 12 12 11 11 11 12 13 13 14 15 15 15 15 15 15 14 14 13 10 8 6 4 2 -1 -3 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
26 33 33 32 30 29 29 27 26 23 20 17 17 18 22 27 31 33 35 32 25 19 16 15 18 24 27 27 28 29 28 26 27 32 39 45 45 42 35 27 20 13 8 5 3 2 0 0 0 2 5 5 3 3 2 7 25 65 143 285 373 421 436 433 417 378 347 321 298 278 257 229 219 220 226 226 216 193 173 155 141 135 136 120 96 76 73 92 99 84 71 63 59 56 54 52 48 41 31 40 55 83 132 229 411 730 1011 1222 1382 1521 1563 1580 1593 1581 1527 1445 1396 1340 1246 1156 1133 1038 974 968 961 936 935 909 893 874 836 785 727 647 632 611 556 535 561 572 647 733 758 769 823 828 847 889 959 1084 1253 1436 1569 1603 1545 1653 1712 1719 1678 1617 1532 1341
27 32 34 31 29 29 29 27 24 22 20 18 16 16 19 22 26 30 32 34 29 23 19 18 20 26 29 29 29 29 28 26 25 28 34 39 41 41 38 32 26 19 11 6 4 2 1 1 0 1 3 7 7 6 7 10 19 45 120 269 367 417 431 430 403 359 316 278 250 231 211 205 213 225 229 216 196 179 165 151 139 137 140 127 98 71 82 97 93 82 72 66 58 52 45 41 37 30 19 19 24 38 65 111 235 448 708 961 1150 1339 1404 1447 1481 1494 1494 1434 1337 1285 1219 1062 1028 994 912 883 903 877 881 868 851 812 751 706 688 606 546 532 486 443 482 495 498 543 589 565 583 615 655 718 837 990 1175 1365 1520 1553 1541 1577 1605 1570 1469 1364 1207 1031
32 38 40 37 32 31 29 25 22 20 20 18 17 16 17 18 19 22 23 27 27 25 23 21 20 22 25 27 28 30 30 27 24 25 30 37 37 37 38 36 32 24 16 9 5 3 2 2 1 1 0 1 5 8 11 17 31 74 198 341 420 439 430 414 375 330 289 254 224 197 184 195 212 221 221 207 193 183 168 146 141 149 154 146 123 92 88 83 73 62 53 50 47 44 42 37 31 24 18 13 10 12 28 64 129 245 445 741 966 1154 1260 1317 1354 1340 1359 1362 1265 1168 1171 1028 928 906 877 821 808 791 814 798 750 722 689 626 615 578 498 456 455 414 415 423 394 382 415 419 427 462 532 623 771 937 1113 1295 1424 1455 1463 1453 1407 1329 1216 1072 914 765
39 44 43 38 31 28 26 22 19 18 18 18 18 17 16 15 13 16 19 21 23 24 27 24 21 21 23 25 29 33 33 30 26 25 26 35 36 36 37 38 34 29 21 13 7 3 2 2 2 2 1 1 6 10 16 32 72 158 291 437 507 482 443 401 354 310 272 245 227 191 162 165 194 210 210 206 200 187 160 128 133 149 168 183 179 147 114 90 71 56 50 47 43 41 38 34 29 25 21 18 13 10 15 27 59 126 261 490 735 979 1119 1149 1194 1215 1208 1256 1230 1060 1048 991 913 848 803 793 776 731 724 712 637 590 622 577 526 502 453 389 418 417 383 354 322 308 313 329 354 408 508 628 767 918 1077 1219 1316 1365 1354 1283 1177 1074 951 814 681 559
42 46 45 38 31 26 22 19 17 15 15 17 18 18 17 15 12 13 14 16 18 20 27 27 26 25 24 24 29 32 33 32 30 26 26 33 36 36 37 39 38 33 25 16 8 3 2 2 3 3 1 2 8 15 29 60 118 214 332 451 516 496 454 398 343 296 263 238 213 185 161 160 184 193 198 200 191 165 131 120 134 160 193 232 241 211 168 129 99 74 62 56 51 47 44 41 36 29 26 26 21 18 17 20 34 71 167 331 523 768 976 1009 1025 1113 1116 1088 1119 1025 985 931 877 858 823 758 736 693 646 631 600 518 531 526 457 398 403 360 347 354 334 299 273 261 268 291 335 427 545 671 798 934 1044 1129 1186 1209 1180 1070 948 821 694 585 488 412
45 45 41 35 29 24 21 17 14 13 13 14 16 18 18 17 14 13 12 12 14 15 21 25 28 29 27 25 29 32 33 33 32 29 29 31 32 33 36 40 40 36 29 21 11 5 3 3 4 3 2 1 5 14 29 55 100 171 265 361 434 461 438 387 334 294 266 244 229 205 181 170 170 171 175 174 160 135 119 137 169 199 228 268 276 257 221 179 137 109 93 85 78 72 65 56 50 45 43 40 33 24 20 20 27 45 101 191 342 548 782 912 907 955 1007 989 1006 945 940 918 840 810 819 712 651 638 604 558 562 508 461 446 414 347 346 340 307 287 272 254 242 243 255 288 364 472 589 698 805 911 986 1045 1080 1070 990 869 741 616 493 411 347 292
43 40 36 32 27 22 18 15 13 11 12 13 15 16 16 16 14 13 11 10 10 11 15 19 24 29 30 29 30 30 29 30 33 33 34 34 34 33 36 38 39 38 33 26 15 7 4 4 5 4 2 1 2 6 15 34 53 90 152 239 336 400 403 370 331 304 279 257 243 222 193 176 163 149 144 147 145 133 123 152 195 223 242 249 246 242 227 193 165 145 136 134 130 113 97 84 78 74 61 41 26 21 19 17 21 37 59 110 202 325 530 745 812 808 827 861 949 891 849 876 833 714 736 682 594 578 596 531 489 457 413 374 377 351 327 299 258 239 230 225 225 232 251 308 399 502 602 696 776 847 906 953 991 923 815 692 571 466 369 300 245 197
39 37 33 30 25 20 16 13 11 10 11 12 12 13 14 15 14 13 12 10 8 8 10 13 17 23 29 33 34 32 29 29 32 35 37 38 37 37 38 40 41 40 36 29 19 11 5 3 5 3 2 2 1 2 5 21 28 39 68 129 234 327 363 356 335 317 294 270 247 225 203 187 172 158 155 173 190 180 154 169 217 244 244 225 190 174 191 196 204 183 159 153 148 144 136 127 115 100 78 59 45 35 22 13 16 34 54 88 160 244 385 565 688 754 815 735 824 855 781 745 787 658 611 622 593 529 536 498 450 425 410 343 322 309 282 249 209 199 200 204 215 236 274 340 422 505 585 656 720 782 841 869 851 771 661 551 445 354 272 207 157 121
40 37 33 29 24 20 15 11 9 9 9 10 11 12 13 12 12 12 11 10 9 7 7 9 12 16 22 30 35 36 34 34 35 38 41 42 39 40 41 44 45 44 39 33 25 17 8 1 2 2 2 2 2 0 0 9 14 17 27 61 145 242 319 355 346 339 316 290 266 244 223 213 213 223 243 269 258 234 216 219 243 253 239 212 182 161 157 182 216 215 190 185 199 191 196 198 185 158 135 121 105 77 35 16 11 18 36 72 131 176 301 444 533 575 726 677 671 746 763 624 671 638 535 490 571 516 489 476 452 421 401 335 286 260 226 209 186 179 183 188 214 252 302 358 413 483 553 616 676 737 795 792 737 637 527 437 345 260 183 124 87 66
41 38 35 30 25 20 15 11 9 8 8 9 10 11 12 12 11 11 10 9 9 8 7 8 9 12 16 24 33 38 40 41 42 44 47 45 41 41 44 48 50 50 44 38 31 23 12 4 2 1 0 1 1 0 0 3 7 11 14 36 92 176 273 362 342 326 311 298 284 262 248 251 271 307 353 366 306 245 217 222 247 249 234 210 184 158 138 155 183 202 207 213 205 234 261 247 250 251 233 209 184 161 97 54 26 19 31 63 107 156 252 385 463 432 552 616 588 562 716 608 551 560 529 395 476 489 466 454 451 396 337 276 232 236 208 189 180 178 184 197 225 270 321 368 412 473 536 603 666 723 730 684 601 499 402 317 233 157 100 64 46 35
48 43 37 30 24 19 14 10 8 8 7 7 8 11 12 12 11 10 9 7 8 8 8 8 8 10 13 20 29 39 47 52 54 54 54 50 45 43 45 49 51 49 45 40 34 27 19 12 7 3 0 0 0 0 0 1 3 8 12 24 58 122 220 330 342 335 320 298 282 265 266 286 322 370 422 381 300 235 210 224 251 254 239 216 190 161 134 128 140 162 194 216 237 251 232 141 186 209 198 181 194 187 152 105 57 22 16 29 61 120 195 255 395 395 409 489 602 436 563 594 515 441 540 433 413 430 431 402 385 331 266 212 183 200 199 194 189 191 196 215 250 294 336 372 413 467 540 625 666 677 633 552 450 351 273 197 125 64 37 32 26 20
46 38 32 26 21 16 12 10 8 7 6 5 6 8 9 10 10 9 7 5 5 6 7 8 8 9 11 15 23 34 50 65 73 71 66 59 53 49 47 49 49 49 45 41 35 29 22 16 10 5 1 0 0 0 0 0 1 3 6 12 29 67 145 243 301 322 310 274 260 260 273 299 341 409 421 370 304 253 237 253 267 267 256 237 209 176 141 114 103 111 140 166 185 184 138 43 70 101 106 111 144 113 94 79 53 28 14 10 30 76 136 105 228 319 322 278 579 468 438 510 587 387 461 455 410 377 379 348 303 253 211 181 177 185 192 195 197 204 212 235 272 313 340 372 417 479 558 627 622 583 514 415 318 227 152 94 55 31 23 20 16 12
38 31 25 19 15 12 10 9 8 7 6 6 6 6 6 6 6 6 4 3 3 4 5 6 8 9 9 11 16 26 44 65 81 85 79 67 58 52 49 47 46 47 45 41 35 29 22 17 12 8 3 1 1 0 0 0 0 0 1 3 10 31 74 140 212 270 283 252 245 250 263 285 334 398 418 398 354 307 296 299 303 302 294 269 225 180 140 105 77 76 87 104 125 125 86 31 22 41 61 50 78 76 59 48 46 40 32 28 38 56 110 90 138 244 323 120 376 475 420 329 591 439 383 387 391 331 310 278 237 195 187 180 182 188 191 193 201 211 225 248 284 313 341 379 434 509 580 577 530 459 381 276 184 111 62 36 24 17 14 13 10 7
29 22 16 11 9 8 8 7 7 7 6 5 4 4 4 4 4 3 2 2 2 2 2 5 6 7 8 9 10 17 30 50 72 91 91 79 67 58 51 45 42 43 42 39 34 30 25 20 16 11 6 3 1 1 0 2 4 5 3 1 2 17 40 80 141 223 247 240 233 234 247 274 325 373 399 398 379 351 335 328 322 311 308 277 229 177 127 89 63 57 65 78 75 61 36 16 9 19 41 55 66 67 58 54 61 60 57 59 79 73 106 131 150 158 267 145 189 333 458 201 375 433 394 312 327 263 226 214 207 169 180 181 178 176 178 186 198 211 226 251 286 317 349 389 446 504 521 475 395 310 222 132 72 41 24 17 14 13 13 14 10 7
20 13 8 6 6 6 6 5 6 6 5 4 3 2 2 3 3 2 1 1 1 1 2 3 5 6 7 8 8 11 18 32 53 83 100 99 88 74 59 47 42 43 44 42 37 34 30 27 23 17 9 4 2 1 1 4 9 10 8 5 4 13 35 67 114 201 236 238 234 243 254 273 300 330 352 352 346 330 318 312 307 293 279 250 208 157 106 76 55 39 27 26 27 39 43 36 22 20 24 33 37 38 39 48 55 55 49 49 85 90 100 134 213 184 195 158 118 119 349 228 240 333 417 271 259 234 201 171 189 168 163 161 159 164 169 181 197 215 239 262 290 320 354 395 430 431 388 318 231 161 90 34 11 10 12 12 14 17 18 17 11 6
12 7 5 5 5 5 4 4 4 4 3 3 2 2 2 2 2 1 1 1 1 2 2 3 4 5 6 6 6 8 13 22 35 65 94 110 108 94 76 62 55 54 55 55 49 44 40 38 34 25 13 6 3 2 1 2 9 14 10 6 6 18 46 92 162 219 246 250 252 276 280 284 296 310 311 299 284 268 259 261 265 248 226 200 174 128 90 65 48 37 35 61 70 77 83 85 68 53 38 27 19 12 15 23 29 28 20 28 60 78 72 51 177 178 155 132 127 38 149 164 140 131 294 237 214 205 198 165 160 153 147 146 147 152 162 175 192 211 243 274 295 311 325 342 335 298 234 161 89 47 20 7 10 7 9 11 14 21 21 17 11 7
6 4 3 4 4 4 4 3 3 2 2 2 1 1 1 2 1 0 1 1 1 2 2 2 3 4 4 5 5 6 9 15 27 50 77 103 120 118 103 88 78 74 73 69 63 57 53 50 44 31 18 8 3 1 0 1 6 14 15 11 15 34 70 122 184 234 265 271 264 286 309 318 320 314 274 235 212 197 190 210 201 174 141 123 123 87 62 46 36 33 46 66 79 84 85 90 91 86 72 56 49 31 23 18 14 20 12 21 40 60 78 42 104 130 113 72 114 60 59 77 95 29 144 183 187 178 170 160 152 145 139 142 135 132 137 150 169 193 221 248 258 256 239 217 185 142 90 44 15 5 3 2 4 6 9 12 16 19 19 16 10 10
4 2 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 3 4 5 6 11 22 43 75 111 138 142 132 116 102 93 88 82 76 70 64 58 51 39 26 14 5 1 0 3 9 16 18 22 31 53 91 151 219 269 288 283 281 312 348 357 326 272 205 170 154 145 135 131 111 90 71 55 52 43 34 29 28 30 35 38 41 40 35 38 38 41 47 51 55 54 56 52 33 36 38 47 52 48 68 57 63 78 93 54 70 62 46 30 59 55 96 142 172 168 158 150 142 133 118 111 105 98 101 120 144 161 172 170 147 138 118 88 47 5 3 2 1 0 1 2 3 6 10 14 19 19 20 17 11 13
2 2 2 2 2 1 1 1 1 1 0 0 1 2 2 5 4 3 2 2 3 4 4 3 2 0 1 2 4 6 9 15 27 48 80 120 139 148 146 138 125 115 105 96 88 79 70 65 59 48 35 22 12 7 7 10 15 20 23 31 42 57 88 153 235 288 299 294 311 344 358 329 264 202 163 143 129 116 106 88 69 49 36 27 22 19 17 16 16 15 13 11 9 7 4 5 4 1 1 11 23 34 46 66 74 89 105 116 110 80 68 50 34 27 48 37 36 38 39 34 44 59 84 114 134 136 129 116 102 91 72 56 44 46 65 83 94 90 77 79 54 38 26 15 4 0 0 0 0 0 1 3 6 8 10 15 17 20 22 20 15 11
2 1 1 1 0 0 0 0 0 0 1 2 5 9 11 13 12 9 9 9 9 10 10 9 7 4 3 4 9 15 23 32 43 58 77 99 114 127 138 146 148 140 129 116 105 94 81 74 66 57 47 36 27 21 19 20 24 29 33 37 38 36 60 124 208 276 300 315 340 352 326 252 174 133 119 115 110 105 97 80 60 42 29 23 18 15 12 10 7 2 0 0 1 0 0 0 0 0 0 0 3 6 11 27 55 93 128 152 155 126 92 57 30 13 12 10 8 7 11 20 31 47 69 92 102 100 89 73 54 39 29 22 19 29 38 40 39 34 14 14 10 4 0 0 0 0 0 0 0 0 1 3 6 9 13 15 16 17 21 17 14 11
2 1 1 1 1 0 0 0 1 2 3 7 13 20 21 21 20 19 20 20 18 16 15 16 16 15 15 18 25 36 51 64 71 72 73 70 73 83 101 128 147 155 154 146 133 119 103 90 79 70 61 53 46 41 39 40 44 42 43 44 38 23 28 83 165 238 279 315 341 334 280 190 124 89 77 81 89 95 93 78 54 40 32 25 17 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 34 66 98 116 113 96 71 42 20 8 2 1 0 2 7 18 36 54 66 70 68 54 33 20 11 9 10 6 11 11 9 7 8 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 12 14 15 15 11 7 8
2 2 1 1 2 3 4 4 5 8 12 18 26 31 30 28 26 26 27 29 26 21 19 20 21 21 23 25 31 41 54 71 81 77 67 57 53 56 65 93 120 144 163 171 164 147 130 114 100 88 84 78 69 61 58 60 58 56 54 50 37 21 24 62 129 205 248 284 299 278 218 152 104 76 66 71 85 92 89 77 61 47 34 23 13 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 29 37 42 51 45 34 20 9 4 1 0 1 3 10 19 24 27 23 13 2 4 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 6 6 7 9 9 8 7 5 2 3
2 2 3 4 6 8 11 13 15 16 21 32 40 38 33 31 31 33 34 34 32 28 24 25 22 20 19 19 21 22 27 39 51 58 57 56 57 60 63 77 95 115 137 157 164 160 153 142 128 117 109 96 82 72 72 73 71 66 60 51 33 20 22 46 94 165 209 233 234 206 151 114 92 79 79 89 99 98 87 73 60 47 33 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 6 6 3 1 2 0 0 0 1 3 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 6 6 4 1 4 5 4 4 3
4 7 10 11 14 17 20 22 23 21 24 39 42 36 31 30 31 37 39 41 43 40 34 31 25 19 16 13 12 12 12 14 18 23 33 41 46 53 62 71 79 90 107 127 143 154 161 163 156 147 132 109 85 74 80 82 80 72 61 49 32 21 22 41 81 134 170 185 178 160 122 98 88 88 101 112 114 105 89 74 58 42 27 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 9 9 8 12 13 7 5 6 8
12 15 18 19 21 24 26 27 29 31 34 41 34 27 28 33 31 35 42 49 52 49 40 33 27 21 16 11 9 9 9 9 9 9 13 18 23 27 33 41 49 58 75 95 113 131 148 159 160 153 140 120 94 85 87 90 88 79 67 51 34 23 25 44 85 124 153 167 161 138 111 92 84 89 115 127 126 115 99 84 60 36 17 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 7 8 11 13 15 15 13 5 3 3 2
19 23 24 26 27 29 29 30 34 40 45 45 41 40 43 47 42 39 44 55 66 60 49 39 31 25 19 15 12 10 8 8 7 7 7 8 9 10 11 12 13 19 30 43 62 84 106 126 141 151 145 122 99 90 90 95 96 86 73 56 38 25 24 50 85 118 142 158 146 126 108 93 83 93 114 127 128 120 107 84 54 26 7 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 3 5 7 7 6 7 14 12 4 1 0 0
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34 37 39 40 40 41 37 40 51 66 74 75 71 66 62 60 59 61 70 83 93 88 80 64 44 36 31 27 23 19 16 13 11 9 7 6 5 5 4 4 4 4 4 5 6 7 11 16 37 71 107 118 117 114 111 111 107 97 80 61 45 35 38 53 77 101 119 127 126 119 107 93 91 98 107 108 89 59 28 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 6 12 17 18 14 10 6 3 1 0 0 0 0 0 0 0 0 0
36 35 36 37 39 41 41 48 63 73 80 80 76 71 66 57 54 57 64 71 76 79 78 72 63 54 45 38 34 30 22 18 15 12 9 7 6 5 4 4 4 4 4 4 4 4 4 4 10 19 37 60 83 98 104 112 109 100 83 62 46 39 40 50 67 86 102 113 116 112 102 96 96 102 106 92 54 22 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 3 5 7 8 11 16 20 24 25 23 17 11 7 3 1 0 0 0 0 0 0 0 0
31 27 26 28 32 33 37 49 67 70 79 82 78 68 53 47 48 52 58 63 68 71 71 67 63 58 57 56 51 44 38 31 25 18 11 8 6 5 4 4 4 4 4 4 3 3 3 4 4 5 7 6 18 37 51 60 73 76 64 47 35 31 33 40 51 66 81 95 105 108 106 105 107 107 101 67 30 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 7 7 9 11 13 15 18 20 23 26 28 29 27 22 18 15 10 3 0 0 0 0 2 3 2 1
24 21 21 23 27 27 30 35 43 57 66 68 66 69 51 45 44 45 48 53 63 69 70 67 63 59 56 56 57 56 53 50 45 34 23 15 9 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 5 5 11 14 17 18 20 19 18 19 23 28 35 46 59 76 97 109 117 122 123 112 89 52 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 11 14 14 15 17 19 21 23 24 26 28 29 30 28 25 23 22 14 8 5 4 5 6 10 13 11 7
20 19 19 22 25 26 27 27 27 28 24 23 33 54 36 32 35 39 40 44 53 61 66 68 65 60 55 52 51 51 51 53 55 50 41 31 21 14 11 9 8 7 6 5 4 4 4 3 3 3 3 3 4 3 4 4 4 3 3 4 5 7 11 15 21 31 46 66 87 105 116 123 123 106 74 36 8 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 6 6 8 10 11 14 15 16 18 18 19 20 21 22 24 25 28 30 30 28 23 17 14 15 17 17 17 19 21 19 14
21 23 23 23 23 23 25 27 29 31 36 45 57 55 45 36 30 26 28 34 42 50 55 59 57 54 50 48 47 45 45 47 49 51 50 49 45 32 24 18 13 10 8 7 6 5 5 4 3 2 3 3 3 3 3 4 4 4 5 4 4 3 4 6 9 14 23 40 62 87 105 111 105 83 52 22 2 1 3 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 7 8 9 8 9 11 12 12 13 14 16 17 16 17 19 20 21 23 25 27 27 27 23 18 16 20 24 23 21 20 18 16 14
25 28 28 26 24 24 27 30 30 33 40 54 78 80 67 46 24 16 15 20 30 41 43 44 44 43 41 39 39 38 38 40 43 47 49 51 52 50 42 34 26 17 13 9 8 7 6 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 2 3 4 12 25 50 77 87 79 61 37 15 6 7 10 13 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 11 13 14 13 13 13 13 13 14 14 14 16 17 17 19 21 22 24 27 28 30 30 27 22 20 18 17 16 15 16 13 11 10
32 35 32 30 31 33 35 34 33 35 46 68 101 105 92 67 32 22 16 14 15 18 32 35 35 34 32 29 29 30 30 31 35 40 45 47 48 48 47 46 41 30 24 17 11 8 7 6 6 5 4 3 4 4 4 4 3 3 3 3 3 4 5 4 3 3 2 3 3 14 38 52 52 39 21 11 8 11 16 19 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 11 14 16 18 17 17 17 16 15 15 16 18 19 21 23 26 28 30 32 32 30 26 23 22 20 15 11 10 12 10 8 7
43 41 37 36 37 38 39 41 40 39 47 78 104 103 90 72 40 27 19 14 10 7 20 25 26 26 24 23 23 23 23 23 26 31 37 42 44 46 46 45 44 41 36 27 17 13 10 8 7 6 5 5 5 5 5 4 4 4 4 3 2 4 5 5 5 5 4 3 3 4 12 24 29 26 18 13 11 17 23 26 24 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 8 8 10 12 14 18 19 20 20 20 19 19 20 21 22 23 25 26 28 30 30 28 25 22 20 18 17 16 14 14 14 13 12 13
57 51 46 45 45 46 47 49 48 45 44 58 72 72 64 58 45 33 22 15 10 7 6 7 9 14 16 15 13 13 17 13 11 13 22 34 38 42 43 43 43 43 40 36 32 23 14 10 8 7 6 6 6 7 7 5 4 4 4 3 2 3 4 4 5 5 4 4 3 2 2 8 13 18 21 21 21 24 29 32 24 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 7 8 9 10 12 12 15 18 20 20 21 23 24 25 24 24 24 25 26 26 25 24 23 23 22 21 21 20 21 23 23 20 18 18 17
74 63 56 52 52 51 50 52 51 47 43 42 42 47 56 59 53 41 28 16 10 7 6 6 5 4 6 6 4 4 5 4 4 6 12 21 27 32 37 41 40 40 40 38 36 28 23 17 11 9 9 9 9 9 9 7 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 2 6 14 24 28 29 31 36 35 20 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 9 9 9 10 10 12 13 14 17 19 20 22 24 27 28 28 27 26 27 27 28 28 28 28 28 28 28 28 27 28 32 35 33 24 16 12
79 71 63 56 50 48 46 44 42 42 43 46 53 60 66 66 59 47 32 18 11 7 5 5 5 5 4 4 4 4 4 4 5 5 4 4 10 16 22 26 20 24 32 35 37 33 28 22 15 13 12 12 12 12 10 9 7 6 6 6 5 5 5 4 4 3 3 3 3 2 1 1 4 8 19 28 37 43 40 28 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 9 10 11 11 12 12 13 15 15 17 20 22 24 26 29 31 32 31 31 32 33 34 35 35 36 36 36 35 35 35 36 36 36 31 20 10 5
68 70 65 57 50 45 41 39 38 39 43 49 56 63 69 81 73 55 36 20 11 6 5 4 4 4 4 4 3 3 3 3 3 4 6 7 7 8 12 15 17 19 20 21 22 18 17 18 17 16 14 14 14 13 12 10 9 9 9 8 8 7 6 4 4 4 3 4 3 2 2 1 0 7 23 37 40 27 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 10 12 14 17 17 17 18 19 21 23 26 28 31 34 37 38 38 38 39 41 42 42 40 40 41 41 39 37 36 32 27 23 14 7 3 1
50 57 55 47 46 41 36 35 37 36 40 46 54 62 66 94 98 78 53 27 12 5 4 4 4 3 3 3 3 3 3 3 3 4 4 6 7 9 12 17 21 23 23 22 21 21 22 21 19 18 17 15 14 13 13 12 12 11 12 11 10 8 7 6 5 4 3 3 3 2 2 1 0 7 13 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 15 19 24 25 24 21 22 25 28 32 35 37 39 40 41 41 42 42 43 43 42 39 35 32 31 27 23 19 14 11 7 3 1 0 0
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